[Fractint] FOTD 14-04-13 (Not Quite Linear [7.5])

15 Apr 2013

      FOTD -- April 14, 2013 (Rating 7.5)

Fractal visionaries and enthusiasts:

Today's image is a scene in one of the Z^(1.02)+C parent 
fractals.  Since the complex logarithm is multi-valued, there 
are multiple fractals the expression can create.  Most of these 
fractals are over-sized torpedo-shaped things, though only some 
have the interesting fractal semi-chaos along their edges.  
Today's scene lies in a bit of this semi-chaos along the 
southwest shore line of its parent.

This parent fractal is unusual in that it has a small island-arc 
of debris lying inside its main bay, totally disconnected from 
the nearest shore.  I have not yet checked this island, though 
at first glance it appears relatively unpromising.

The name "Not Quite Linear" describes the generating expression. 
The rating of 7-1/2 is about average.  I did put a little extra 
effort into the coloring, though it is debatable whether my work 
made much of an improvement.

If you run the parameter file, do not be concerned if nothing 
appears on the screen for a minute or two.  The top inch or so 
of the image is a flat color.

With a calculation time of 12 minutes, the image is a slow one.  
The web sites can relieve impatience however.

The completed image is posted at:

      <http://www.crosscanpuzzles.com/Archives.html>

Hi-def variations are at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

The FOTD back images are at:

       <http://www.Nahee.com/FOTD/>

A perfectly average mid-April day passed uneventfully here at 
Fractal Central today, with partly cloudy skies and a 
temperature of 59F 15C.  The fractal cat ignored the weather, 
exhausting his energy playing under an afghan.  The humans had 
a day as average as the weather.

The next FOTD will be posted in one day, maybe two.  Until 
whenever, take care, and when the going gets tough, get going.

Jim Muth
jimmuth@earthlink.net

START PARAMETER FILE=======================================

Not_Quite_Linear   { ; time=0:12:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=-21.7682/0.605373/1.223368
  params=1.02/0/0/3500 float=y maxiter=3500
  inside=255 logmap=80 periodicity=6
  colors=000GC8AFMADLAGLAEKAHKAGJAIIAHIAJHAIHAKGAIGA\
  LFAKFBMGBMHCNICOICPJDQKDRLDSLETMEUNEVNFWOFXPGYQGZQ\
  G_RHaSHbTHeTIfUIiVIkVMmWPnXToXWpY_qYbrZfs_it_mu`pv\
  `twawvasu_ptYlsWitUetSbuQ_uOWvMTvLPwJMwHJxFFxDCyB8\
  y95z72z6BqBJiGSaL_TQhLVpD_x5cv8buAbtCbsFbrHaqJapLa\
  oOanQ`mS`lU`jX`iZ`h`_gc_fe_eg_diZclZbnZapZ`rZ_p`Zn\
  aYlbXjcWhdVffUdgUchTaiS_jRYkQWmPUnOSoNQpNPqmNrmLtm\
  JumHvmFwmDxmCymGpmJgmMZmL`mLbmLcmLemLfmLhaLiaKkaKm\
  bKnbKpbKqbKsbKteQjhVak_TndKqiBsn2mh8hbDccJccOccUcc\
  Zcccccacc_ccYccXccVccTccSccQccOccMccLpbvpcvpdwpewq\
  fwqhwqiwqjwrkwrlwrmwrnxsoxsqxsrxssxttxtuxtvxtwxuyy\
  txxtwxtvxtvxtuwttwtswtswtrwtqvtqvspvsovsnusnusmusl\
  uslusktsjtsitsitshtrgsrgsrfsresrmrrmrrmrrmrrmrrmqr\
  mqqmqqmqqmpqmpqmpqmpqmpqmoqmoqzoqzoqzorzprzprzqszq\
  szrtzrtzstzsuztuztuzuvzuvzvvzvwzwwzwwzxxzxxzyxzzxz\
  ywzxvzxuzwtzwtzwszvszvA0F }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

END PARAMETER FILE=========================================